Small tritrigonary dishexacositetrishecatonicosachoron

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Small tritrigonary dishexacositetrishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymStut duxthi
Elements
Cells120 ditdid, 600 tet, 600 cho, 120 sird, 120 sidditdid, 120 ti
Faces2400 triangles, 3600 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 1440 decagons
Edges3600+7200
Vertices2400
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Sidpixhi
RegimentStut phiddix
ConjugateGetit duxthi
Abstract & topological properties
Euler characteristic2640
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small tritrigonary dishexacositetrishecatonicosachoron, or stut duxthi, is a nonconvex uniform polychoron that consists of 120 ditrigonary dodecadodecahedra, 600 tetrahedra, 600 cubohemioctahedra, 120 small rhombidodecahedra, 120 small ditrigonal dodecicosidodecahedra, and 120 truncated icosahedra. One ditrigonary dodecadodecahedron, one tetrahedron, three cubohemioctahedra, three small rhombidodecahedra, three small ditrigonal dodecicosidodecahedra, and three truncated icosahedra join at each vertex.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the small tritrigonary prismatohecatonicosidishexacosichoron.

External links[edit | edit source]